The scaling of the shear stress in an accretion disk

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Accretion Disks, Astrophysics, Scaling Laws, Stellar Mass Accretion, Viscosity, Astronomical Models, Gas Pressure, Magnetic Effects, Magnetohydrodynamics, Radiation Pressure, Shear Stress

Scientific paper

In most accretion disk models, the viscosity is scaled to the pressure with a parameter α. There are three pressure terms of interest: gas, magnetic and radiation pressure. If α is kept constant throughout the disk, scaling with the total pressure results in an unstable disk; scaling with the gas pressure results in a stable disk. It is demonstrated that scaling with the gas pressure is only justified, when the amplification of the magnetic field in the disk is limited by buoyancy. However, in the case of reconnection limited hydromagnetic turbulence, the shear stress scales with the total pressure.

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